89 citations · 147 across the 15 of their papers we have counts for
16 papers
Multilinear transference on product spaces and applications
Árpád Bényi, Tadahiro Oh
We establish transference results for multilinear Fourier multiplier operators from Euclidean spaces to product spaces of the form . We prove…
An elementary derivation of 3-cycles for a quadratic map
Arpad Benyi, Ioan Casu
We present an elementary derivation of the period-three cycles for the real quadratic map , a fundamental model in one-dimensional discrete dynamics. Using symmetri…
Floor, ceiling and the space between
Árpád Bényi, Branko Ćurgus
Motivated by questions on the ranges of commutators of dilated floor functions and one posed in Problem 27327 from Gazeta Matematică, we investigate the precise ranges of certain g…
Symbolic calculus for a class of pseudodifferential operators with applications to compactness
Árpád Bényi, Tadahiro Oh, Rodolfo H. Torres
We prove a symbolic calculus for a class of pseudodifferential operators, and discuss its applications to -compactness via a compact version of the theorem.
Compact bilinear operators and paraproducts revisited
Árpád Bényi, Guopeng Li, Tadahiro Oh +1
We present a new proof of the compactness of bilinear paraproducts with CMO symbols. By drawing an analogy to compact linear operators, we first explore further properties of compa…
Discrete bilinear operators and commutators
Árpád Bényi, Tadahiro Oh
We discuss boundedness properties of certain classes of discrete bilinear operators that are similar to those of the continuous bilinear pseudodifferential operators with symbols i…
Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach
Árpád Bényi, José María Martell, Kabe Moen +2
We present a unified method to obtain weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settin…
Compactness properties of commutators of bilinear fractional integrals
Árpád Bényi, Wendolín Damián, Kabe Moen +1
Commutators of a large class of bilinear operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillations are shown to be join…
Outer median triangles
Árpád Bényi, Branko Ćurgus
We define the notions of outer medians and outer median triangles. We show that outer median triangles enjoy similar properties to that of the median triangle.
On the Hörmander classes of bilinear pseudodifferential operators II
Árpad Bényi, Frédéric Bernicot, Diego Maldonado +2
Boundedness properties for pseudodifferential operators with symbols in the bilinear Hörmander classes of sufficiently negative order are proved. The results are obtained in the sc…
A generalization of Routh's triangle theorem
Arpad Benyi, Branko Curgus
We prove a generalization of the well known Routh's triangle theorem. As a consequence, we get a unification of the theorems of Ceva and Menelaus. A connection to Feynman's triangl…
Triangles and groups via cevians
Árpád Bényi, Branko Ćurgus
For a given triangle and a real number we define Ceva's triangle $\CT_ρ(T)$ to be the triangle formed by three cevians each joining a vertex of to the point which divid…
On the Hörmander classes of bilinear pseudodifferential operators
Árpád Bényi, Diego Maldonado, Virginia Naibo +1
Bilinear pseudodifferential operators with symbols in the bilinear analog of all the Hörmander classes are considered and the possibility of a symbolic calculus for the transposes…
Modulation invariant bilinear T(1) theorem
Arpad Benyi, Ciprian Demeter, Andrea R. Nahmod +3
We prove a T(1) theorem for bilinear singular integral operators (trilinear forms) with a one-dimensional modulation symmetry.
Local well-posedness of nonlinear dispersive equations on modulation spaces
Árpád Bényi, Kasso A. Okoudjou
By using tools of time-frequency analysis, we obtain some improved local well-posedness results for the NLS, NLW and NLKG equations with Cauchy data in modulation spaces $M{p, 1}_{…
Unimodular Fourier multipliers for modulation spaces
Arpad Benyi, Karlheinz Gröchenig, Kasso Okoudjou +1
We investigate the boundedness of unimodular Fourier multipliers on modulation spaces. Surprisingly, the multipliers with general symbol , where , are bound…